Caruso recorded Una furtiva lagrima four times. Here are the recordings from 1904 and 1911.
The first recording from 1902 - see here:
More Caruso info on my website:
Una furtiva lagrima (A furtive tear) is the romanza from Act II, Scene 2 of the Italian opera, L’elisir d’amore by Gaetano Donizetti. It is sung by Nemorino (Caruso) when he finds that the love potion he bought to win his dream lady’s heart, Adina, works.